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Finding the Third Proportional to 125,498 and 184,060

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Solution

The third proportional to 125,498 and 184,060 is: 269,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,498 : 184,060 = 184,060 : x
  2. Step 2: Convert to fraction form
    125,498/184,060 = 184,060/x
  3. Step 3: Cross multiply
    125,498x = 184,060 × 184,060
  4. Step 4: Simplify right side
    125,498x = 33,878,083,600
  5. Step 5: Solve for x
    x = 33,878,083,600/125,498
  6. Step 6: Final answer
    x = 269,949.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.